Question

Which of the following is equal to 4 1/2 divided 2 2/3

Answer 1

`(27)/(16)`

Explanation:

Conversion of the mixed numbers to fraction:

`4(1)/(2)=(4\ast2+1)/(2)=(8+1)/(2)=(9)/(2)`
`2(2)/(3)=(2\ast3+2)/(3)=(6+2)/(3)=(8)/(3)`

Division:

We multiply the numerator by the inverse of the denominator. So

`((9)/(2))/((8)/(3))=(9)/(2)\ast(3)/(8)=(9\ast3)/(2\ast8)=(27)/(16)`